Find the general solution for the equation $\sin x+\sin 3x+\sin 5x=0$

Question

$\begin{array}{1 1}(A)\;n\pi\pm \large\frac{\pi}{6}&(B)\;n\pi\pm \large\frac{\pi}{3}\\(C)\;2n\pi\pm \large\frac{\pi}{2}&(D)\;n\pi\pm \large\frac{\pi}{4}\end{array}$